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Finding the Fourth Proportional to 584.60, 876.10 and 440.16

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Solution

The fourth proportional to 584.60, 876.10 and 440.16 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 876.10 = 440.16 : x
  2. Step 2: Convert to fraction form
    584.60/876.10 = 440.16/x
  3. Step 3: Cross multiply
    584.60x = 876.10 × 440.16
  4. Step 4: Simplify right side
    584.60x = 385,624.18
  5. Step 5: Solve for x
    x = 385,624.18/584.60
  6. Step 6: Final answer
    x = 659.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.